Question
Factorise the following, using the identity $a^2- 2ab + b^2= (a - b)^2$.
$9x^2- 12x + 4$
$9x^2- 12x + 4$
✓
Answer
$ 9 x^2-12 x+4 $
$ =(3 x)^2-2 \times 3 x \times 2+2^2 $
$ =(3 x-2)^2 $
$ =(3 x-2)(3 x-2) $
$ =(3 x)^2-2 \times 3 x \times 2+2^2 $
$ =(3 x-2)^2 $
$ =(3 x-2)(3 x-2) $
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